An astronaut takes a trip to Sirius, which is located a distance of 8 light-years from the Earth. The astronaut measures the time of the one-way journey to be 6 years. If the spaceship moves at a constant speed of 0.8c, how can the 8-ly distance be reconciled with the 6-year trip time measured by the astronaut?

Q: A certain star is 10.6 light-years away (A light-year is the distance that light travels in one…

A: distance of a certain star =  10.6 light years1 light year = 9.5×1015 m speed of spaceship (v) =…

Q: A muon has a lifetime 2.2 microseconds in its own rest frame. In a frame of reference where the muon…

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Q: The control panel on a spaceship contains a light that blinks every 2.71 s as observed by an…

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Q: Saturn is 1.43 x 1012 m from the sun. A rocket travels along a line from the sun to Saturn at a…

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Q: A spaceship from another galaxy passes over the solar system directly above a radial line from the…

A: Given Information: The speed of the space ship relative to the person on the Earth (Vse) = 0.800 c…

Q: A spaceship travels to a distant star at relativistic speed. As measured by observers on Earth, the…

A: The velocity of spaceship is, v=dt=1.5 ly9.461×1015 m1 ly1.8 yr3.154×107 s1 yr=14.1915×1015…

Q: A spaceship, moving away from Earth at a speed of 0.906c, reports back by transmitting at a…

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Q: As measured by the crew, a spaceship takes 5.6 years to fly from Earth to a distant star. If the…

A: Lorentz Transformation Equation: We have two inertial frames of references as S and S' with…

Q: The control panel on a spaceship contains a light that blinks every 2.00 s as observed by an…

A: Given,The speed of spaceship with respect to earth, v = 0.750c

Q: As measured on Earth, a spaceship traveling at 0.94c takes 8 years to complete the trip from Earth…

A: Postulates of Special Theory of Relativity: All the laws of physics are the same in all inertial…

Q: An unstable high-energy particle enters a detector and leaves a track of length 1.05 mm before it…

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Q: In 2030, the Australian Space Agency launches a spaceship to our nearest neighbour Alpha Centauri (4…

A: Given: Distance between Australian space agency and Alph Centauri, d=4 ly Speed of spaces according…

Q: An astronaut on a spaceship moving at 0.6c says that the trip between two stationary stars took 7.49…

A: Given : v = 0.6c to = 7.49 y

Q: An apartment complex is 100 yards long as measured on earth. What length will an astronaut measures…

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Q: A car has length 4.40 m when it is at rest relative to you. If it moves past you at a speed of…

A: Given data:  Length of car at rest (L0) = 4.40 m Speed of car (v) = 0.88c Required: Measured length

Q: If a spaceship is approaching the earth at 0.17c and a message capsule is sent toward it (the…

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Q: A muon has a lifetime 2.2 microseconds in its own rest frame. In a frame of reference where the muon…

A: Write a given values of this question. Muon lifetime. τ∘=2.2 microseconds Velocity of muon. v=0.6c

Q: A 25 m long beam is shot past a stationary space station at 0.99c. What length does the people on…

A: From Length's contraction:           L= L01-v2c2          L= 251-0.992c2          L= 25×0.141= 3.5 m

Q: Spaceships A and B are traveling directly toward eachother at a speed 0.5c relative to the Earth,…

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Q: An astronaut takes a light emitting beacon in a spaceship travelling at 0.87 c away from a…

A: Time dilation is the slowing down of a clock for an observer in relative motion w.r.t. to a…

Q: If a meter stick is travelling in space at 0.90c, how long does it appear to an Earth-bound…

A: Length of the while it is at rest with respect to earth is l0 = 1 m Speed of the stick is v = 0.90c…

Q: If two spaceships are heading directly towards each other at 0.800c , at what speed must a canister…

A: Given information: Here v is the speed of each spaceship S1 and S2, and ux’ is the speed of the…

Q: A particle X with mass of mx = 1950me is moving at speed of v = 0.950c along the x-axis in…

A: As per guidelines we are suppose to do only first three part from multipart question. Given,Particle…

Q: Suppose a space probe moves away from the Earth at a speed 0.350c . It sends a radio wave message…

A: The speed of the space prob, v=0.350 c   The frequency of the source, fs=1.50 GHz

Q: A 4.0 meters long rod is measured by an observer moving at speed of 0.6c along its length what is…

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Q: pose a spaceship is approaching the Earth at 0.075c and a message capsule is sent toward it at…

A: GivenVelocity of spaceship with respect to earth u=0.075cRelative velocity between two objects  v=…

Q: A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by…

A: Speed of the shuttle is v = 0.90c Length of the shuttle is lo = 100 m

Q: As measured by the crew, a spaceship takes 8.1 years to fly from Earth to a distant star. If the…

A: Postulates of Special Theory of Relativity: All the laws of physics are the same in all inertial…

Q: An astronaut journeying to the nearby star Lacaille 9352 at a speed of 0.850c relative to Earth…

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Q: A star is 5.00 ly from the Earth. At what speed must a spacecraft travel on its journey to the star…

A: Given Data:   The actual distance between the earth and the star is, L0=5.00 ly The largest distance…

Q: If astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years…

A: Formula to calculate the time passes on astronaut’s clock is,

Q: An astronaut journeying to the nearby star Lacaille 9352 at a speed of 0.850c relative to Earth…

A: Speed of spacecraft,v=0.850cwhere c is velocity of speed of light.time observed on earth,t=20…

Q: A Foron cruiser moving directly toward a Reptulian scout ship fires a decoy toward the scout ship.…

A:

Q: A high-energy proton leaves the sun at 0.430c. In the frame of the proton, what is the distance to…

A: Given:- A high-energy proton leaves the sun at 0.430c Find:- In the frame of the proton,…